document.write( "Question 173887: A house has two rooms of equal area. One room is square and the other room is a rectangle 4 ft narrower and 5 ft longer than the square room. Find the area of each room. \n" ); document.write( "
Algebra.Com's Answer #128778 by ankor@dixie-net.com(22740)\"\" \"About 
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: A house has two rooms of equal area. One room is square and the other room
\n" ); document.write( " is a rectangle 4 ft narrower and 5 ft longer than the square room.
\n" ); document.write( " Find the area of each room.
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\n" ); document.write( "Let x = side of the square room
\n" ); document.write( "then
\n" ); document.write( "x^2 = area of the square room
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\n" ); document.write( "(x+5) = length of the rectangular room
\n" ); document.write( "(x-4) = width of the rectangular room
\n" ); document.write( "Find the area of the rectangular room
\n" ); document.write( "A = (x+5)*(x-4) = area
\n" ); document.write( "FOIL
\n" ); document.write( "A = x^2 + x - 20
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\n" ); document.write( "Rect area = square area
\n" ); document.write( "x^2 + x - 20 = x^2
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\n" ); document.write( "x^2 - x^2 + x = +20
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\n" ); document.write( "x = 20 ft side of the square (A = 400 sq/ft)
\n" ); document.write( "and
\n" ); document.write( "20+5 = 25 ft length of rect room
\n" ); document.write( "20-4 = 16 ft width of rect room (A = 400 sq/ft)
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